Say agree, not believe
Ask 'Do you agree?' not 'Do you believe?' Belief triggers religion and semantics tangents. Agreement keeps the conversation on stated values.
Practice
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Ask 'Do you agree?' not 'Do you believe?' Belief triggers religion and semantics tangents. Agreement keeps the conversation on stated values.
Do not call them a hypocrite from line one, and do not rush to label them. Ask step 3 clearly so they conclude that respect and exploitation cannot coexist. Sometimes we give them the answer too quickly instead of letting them say it.
Do not open with veganism being healthy or good for the planet. When asked the biggest advantage, justice and ending hypocrisy — not health. Only address health if they raise it genuinely.